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1010110222000 = 24531151019001
BaseRepresentation
bin11101011001011110100…
…00101100111010110000
310120120021022120220202201
432230233100230322300
5113022201204101000
62052012131352544
7132656321135635
oct16545720547260
93516238526681
101010110222000
1135a426983370
12143923a52754
1374339a68419
1436c6509c18c
151b41e14796a
hexeb2f42ceb0

1010110222000 has 160 divisors (see below), whose sum is σ = 2665305534528. Its totient is φ = 367200000000.

The previous prime is 1010110221959. The next prime is 1010110222031. The reversal of 1010110222000 is 2220110101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112217500 + ... + 112226500.

Almost surely, 21010110222000 is an apocalyptic number.

1010110222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010110222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332652767264).

1010110222000 is an abundant number, since it is smaller than the sum of its proper divisors (1655195312528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010110222000 is a wasteful number, since it uses less digits than its factorization.

1010110222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14136 (or 14120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010110222000 its reverse (2220110101), we get a palindrome (1012330332101).

The spelling of 1010110222000 in words is "one trillion, ten billion, one hundred ten million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5101 5500 9001 10202 11000 18002 20404 22000 25505 36004 40808 45005 51010 56111 72008 81616 90010 99011 102020 112222 127525 144016 180020 198022 204040 224444 225025 255050 280555 360040 396044 408080 448888 450050 495055 510100 561110 637625 720080 792088 897776 900100 990110 1020200 1122220 1125125 1275250 1402775 1584176 1800200 1980220 2040400 2244440 2250250 2475275 2550500 2805550 3600400 3960440 4488880 4500500 4950550 5101000 5611100 7013875 7920880 9001000 9901100 10202000 11222200 12376375 14027750 18002000 19802200 22444400 24752750 28055500 39604400 45914101 49505500 56111000 91828202 99011000 112222000 183656404 198022000 229570505 367312808 459141010 505055111 734625616 918282020 1010110222 1147852525 1836564040 2020220444 2295705050 2525275555 3673128080 4040440888 4591410100 5050551110 5739262625 8080881776 9182820200 10101102220 11478525250 12626377775 18365640400 20202204440 22957050500 25252755550 40404408880 45914101000 50505511100 63131888875 91828202000 101011022200 126263777750 202022044400 252527555500 505055111000 1010110222000